Welcome to the guild!
Just so you know there are Training Raids hosted by TTS 3 different times throughout the week. This calendar (http://ttsgamers.com/event-calendar/) goes by server time, or UTC. You can save it to your google calendar to convert it to your timezone if you wish. Also, as you can see, there are various times a week scheduled for guild missions and various, farmable open world events. Simply pick whichever training raid time, guild mission slot, or event set that best suits you (NA primetime, West Coast NA [aka Pacific, or PAC for short], or OCE - EU primetime events aren't currently active, and haven't been for some time).
As for dungeons and fractals, sometimes people advertise in their guilds for those. Not currently anything organized by the guild for those, unfortunately. PvP and WvW are in a similar boat, as TTS is a PvE-centered organization.
While I haven't been a leader for some time, I hope my information was helpful to you. Cheers!

To be honest, most of the Dragon's Watch crew is. Thankfully some of their writing has improved over the course of Season 3, but Rox is still left bland and underdeveloped and Braham is just still so angsty for no real reason. It would make more sense if he had never returned during the course of the Heart Of Thorns storyline. :x

For context, a husk went flying at the zerg at the very start of Amber encounter. @Addy went splat. Needless to say, some things remain consistent even a year later :^)
EDIT: Credit for screenshot goes to @Sensha